Finiteness criteria for the solutions of a sequence of decomposable form inequalities

Si Duc Quang

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arXiv · 2501.08607

Finiteness criteria for the solutions of a sequence of decomposable form inequalities

Si Duc Quang

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Abstract

In this paper, we give a finiteness criterion for the solutions of the sequence of semi-$q$-decomposable form equations and inequalities, where the semi-$q$-decomposable form is factorized into a family of $q$ nonconstant homogeneous polynomials with the distributive constant not exceeding a certain number.

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Si Duc Quang. 2025-01-15. Finiteness criteria for the solutions of a sequence of decomposable form inequalities. https://arxiv.org/abs/2501.08607

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